Systems of Inequalities

Front

An inequality using \( \ge \) or \( \le \) has a ___________ line.

Back

solid

Front

What type of line is used for inequalities that use \( < \) or \( > \)?

Back

dotted

Front

Solve the system of inequalities by graphing: \( y \ge \frac{3}{4}x - 2 \) and \( y < -\frac{1}{3}x + 2 \).

Back

Graph the two lines and shade the appropriate regions.

Front

Will my line be solid, or dotted? \( y - x < 6 \)

Back

Dotted

Front

Which graph represents the system of inequalities: \( y < \frac{1}{2}x - 1 \) and \( y \ge -3x + 4 \)?

Back

Graph the lines and identify the shaded regions.

Front

What is the solution set of a system of inequalities?

Back

The set of all points that satisfy all inequalities in the system.

Front

How do you determine if a point is a solution to a system of inequalities?

Back

Substitute the point into each inequality; if it satisfies all, it is a solution.

Front

What does it mean if a line is dashed in a graph of inequalities?

Back

The line is not included in the solution set (for \( < \) or \( > \)).

Front

What does it mean if a line is solid in a graph of inequalities?

Back

The line is included in the solution set (for \( \ge \) or \( \le \)).

Front

How do you graph the inequality \( y > 2x + 1 \)?

Back

Graph the line \( y = 2x + 1 \) as a dashed line and shade above it.